en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

72=2^n*3^2

Solution

72 = 2^{n} \cdot 3^{2}

Solution

n = 3

Solution steps

72 = 2^{n} \cdot 3^{2}

Switch sides

2^{n} \cdot 3^{2} = 72

Divide both sides by

3^{2}

2^{n} = \frac{72}{3 ^{2}}

Simplify

2^{n} = 8

Apply exponent rules

n = 3

Popular Examples

2 = (1.06)^{x}

2^{3 n + 1} = 32

5^{x + 9} = 9^{x}

4^{3x-1}= 1/((8^{x-1))}

4^{3 x - 1} = \frac{1}{( 8 ^{x - 1} )}

2^{w} = \frac{1}{28}

Frequently Asked Questions (FAQ)

What is the answer to 72=2^n*3^2 ?
The answer to 72=2^n*3^2 is n=3
Solve for n: 72=2^n*3^2
The solution is n=3